2. Show that for any nontrivial groups G₁ and G2, their direct product G₁ × G₂ is notsimple.

To show that the direct product G1G2 of any two nontrval groups G1 and G2 is not simple, we…

Answered: nontrivial groups

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.7: Direct Sums (optional)

Problem 9E: 9. Suppose that and are subgroups of the abelian group such that . Prove that .

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